Solveeit Logo

Question

Question: What is the work done when 1 mole of a gas expands isothermally from 25 L to 250 L at a constant pre...

What is the work done when 1 mole of a gas expands isothermally from 25 L to 250 L at a constant pressure of 1 atm and a temperature of 300 K?

A

– 3542J

B

– 5744 J

C

– 2657 J

D

– 4890 J

Answer

– 5744 J

Explanation

Solution

: Work done in reversible isothermal expansion,

W=2.303nRTlogVfViW = - 2.303nRT\log\frac{V_{f}}{V_{i}}

=2.303×1×8.314×300×log25025=5744.14J= - 2.303 \times 1 \times 8.314 \times 300 \times \log\frac{250}{25} = - 5744.14J